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Simplifying -1 + -5r = -7(-1r + 2) + 1 Reorder the terms: -1 + -5r = -7(2 + -1r) + 1 -1 + -5r = (2 * -7 + -1r * -7) + 1 -1 + -5r = (-14 + 7r) + 1 Reorder the terms: -1 + -5r = -14 + 1 + 7r Combine like terms: -14 + 1 = -13 -1 + -5r = -13 + 7r Solving -1 + -5r = -13 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -1 + -5r + -7r = -13 + 7r + -7r Combine like terms: -5r + -7r = -12r -1 + -12r = -13 + 7r + -7r Combine like terms: 7r + -7r = 0 -1 + -12r = -13 + 0 -1 + -12r = -13 Add '1' to each side of the equation. -1 + 1 + -12r = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -12r = -13 + 1 -12r = -13 + 1 Combine like terms: -13 + 1 = -12 -12r = -12 Divide each side by '-12'. r = 1 Simplifying r = 1
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